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Finding the Fourth Proportional to 260.33, 359.15 and 177.30

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Solution

The fourth proportional to 260.33, 359.15 and 177.30 is: 244.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.33 : 359.15 = 177.30 : x
  2. Step 2: Convert to fraction form
    260.33/359.15 = 177.30/x
  3. Step 3: Cross multiply
    260.33x = 359.15 × 177.30
  4. Step 4: Simplify right side
    260.33x = 63,676.41
  5. Step 5: Solve for x
    x = 63,676.41/260.33
  6. Step 6: Final answer
    x = 244.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.